Question

Translate the English phrase into an algebraic expression:
(a) The sum of 17y2 and 19
(b) The product of 7 and y

(c) Eleven more than x
(d) Fourteen less than 11a

Short answer

$$\begin{gathered} a)17y^2+9 \\ b)7\times y \\ c)x+11 \\ d)11a-14 \end{gathered}$$

Step-by-step solution

Part (a) Step 1. Write Algebraic expression for the sum of17y2and 19

The "Sum of $17y^2$and 19," where "Sum of" indicates "Addition," is a phrase we use. "$17y^2$Add 19" or "$17y^2+19$" is the algebraic expression for this sentence.

Part (b) Step 1. Write Algebraic expression for the product of 7 and y 

The "Product of 7 and y," as the term "Product" signifies "multiplication," is a word we use. "7 multiply by y" is the algebraic expression for this sentence, which can alternatively be written as

"$7\times y$".

Part (c) Step 1. Write Algebraic expression for Eleven more than x.

The "11 more than x," in which "more than" indicates "added to," is a phrase we use. "11 Added to x" is the algebraic expression for this sentence, which may also be written as "$x+11$".

Part (d) Step 1. Write an algebraic expression for Fourteen less than 11a.

The "14 less than 11a," in which "less than" means "subtracted from," is a phrase we use. "14 subtracted from 11a" is the algebraic expression for this
the statement is "$11a-14$".